Math topic中文

Transformation to achieve linearity

Use of a square, reciprocal or logarithmic transformation to achieve linearity.

Practice questions

  1. 1A teacher conducts a survey on 7 students to investigate the relationship between the number of hours (hh) of "screen-t…
  2. 2The number of years (xx) an employee has worked for the company and the corresponding salary increment, in dollars (yy…
  3. 3It is believed that the probability pp of a randomly chosen pregnant woman giving birth to a Down's Syndrome child is r…
  4. 4In an experiment, the time taken, TT minutes, for a 1-kg block of ice to melt completely under 7 pre-determined tempera…
  5. 5An electrical appliance supplier is investigating the potential impact of monthly advertisement expenditure, denoted as…
  6. 6A researcher is investigating the relationship between the students' test marks and their average daily duration of slee…
  7. 7The following table shows the mean temperature, x, in degree Celsius, from noon to 5pm over nine days in June and the nu…
  8. 8A small cafe sells one type of coffee. The selling price of a cup of coffee is reviewed and adjusted at the beginning of…
  9. 9In an experiment involving two chemicals xx and yy, a researcher recorded observations of values of yy for controlled…
  10. 10Data is gathered on how exam scores, y, vary with the number of hours, x, students spent studying for Mathematics each w…
  11. 11In a chemical reaction, a chemical mixture is left to cool down to room temperature. The temperature of the chemical mix…
  12. 12The shear strength of soil is the ability of the soil to resist tensional stresses and sustain loads. The water content…
  13. 13An experiment was conducted with a ramp placed on top of a table. A ball is then released from the ramp, at a height HH…
  14. 14The table below gives the world record time, in seconds, for the 100 metre race for the various years. | Year, xx | 199…
  15. 15Scientists are studying the growth of a particular species of bamboo. They want to understand how the height of the bamb…
  16. 16The average trade-in value, y thousand dollars, of a particular make of used car depreciates with the age of the car, x…
  17. 17A teacher conducts a survey on 7 students to investigate the relationship between the number of hours (hh) of "screen-t…
  18. 18Sharron who is an amateur swimmer has been attending swimming lessons. She records her time taken to swim 50 metres each…
  19. 19The table below gives the age in months kk and the diameter in cm hh of coconuts. | Age in month (k) | 1 | 2 | 3.5 | 4…
  20. 20A teacher conducts a survey on 7 students to investigate the relationship between the number of hours (hh) of "screen-t…
  21. 21The Department of Environmental Health did a research on how the number of mosquitoes, x, in a container varies with tim…
  22. 22A group of scientists is interested to find out the correlation between the number of species and the size of the natura…
  23. 23An old film roll is treated with a chemical in order to improve the contrast. The table below shows the amount of chemic…
  24. 24A factory manufactures a certain product for sale. The following table gives the quantity of product manufactured, x uni…
  25. 25A batch of plants is grown and then studied to examine how well they are growing. For each plant, data on two indicators…
  26. 26An experiment was carried out to test the effect of a new additive on the carbon emission of a petrol engine. The carbon…
  27. 27The following question has parts (a) and (b). The following scatter diagrams with 5 data points each have product moment…
  28. 28Research is being carried out into how the concentration of a drug in the bloodstream varies with time, measured from wh…
  29. 29In order to investigate whether there is a correlation between rainfall and crop yields, the total rainfall, xx mm, and…
  30. 30An energy company is studying the relationship between the average daily temperature, xx (in degrees Celsius), and the…
  31. 31Data is gathered on how exam scores, yy, vary with the number of hours, xx, students spent studying for Mathematics ea…
  32. 32It is believed that there is a correlation between the number of fogging sessions and the number of new dengue cases. To…
  33. 33The following scatter diagrams with 5 data points each have product moment correlation coefficients −0.7-0.7, 00, 11, no…
  34. 34A study was conducted on a group of pre-diabetic seniors to examine whether the number of hours of exercise per week (tt…